The map shows regions within a country - HSC - SSCE Mathematics Standard - Question 4 - 2024 - Paper 1
Question 4
The map shows regions within a country.
A network diagram is to be drawn to represent this map. Vertices will be used to indicate each region and edges will be used... show full transcript
Worked Solution & Example Answer:The map shows regions within a country - HSC - SSCE Mathematics Standard - Question 4 - 2024 - Paper 1
Step 1
Identify the Regions
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Answer
Based on the map, the regions are:
Forest
Swamp
Mountains
Desert
Coast
Woods
This gives us a total of 6 vertices.
Step 2
Determine Shared Borders
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Answer
Next, we identify the borders between regions. The connections (edges) are as follows:
Forest <-> Swamp
Swamp <-> Mountains
Swamp <-> Woods
Mountains <-> Desert
Desert <-> Coast
Woods <-> Coast
This results in the following shared borders:
Forest and Swamp
Swamp and Mountains
Swamp and Woods
Mountains and Desert
Desert and Coast
Woods and Coast
Step 3
Count the Edges
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Answer
Adding up the identified borders, we find there are a total of 7 edges in the network diagram.
